Completing the Square and Vertex Form

Which of the following equations shows the vertex form of a quadratic?

• x = -b/2a
• x = (-b ±√b² - 4ac)/2a
• y = ax² + bx + c
• y = a(x - h)² + k

In Vertex form, f(x) = a(x - h)²+ k, what does the h stand for?

• the y-coordinate of the vertex
• the x-coordinate of the vertex
• the x-intercept
• the y-intercept

Using Vertex Form, f(x) = a(x - h)²+ k, how do you write the equation for the Axis of Symmetry?

• x = h
• y = k
• x = a
• y = h

What is the vertex of the parabola: y=2(x-3)²+4

• (3,4)
• (-3,4)
• (3, -4)
• (-3,-4)

Which of the following equations matches standard form of a quadratic?

• ax + by = c
• y = a(x - h)² + k
• y = ax² + bx + c
• y = mx + b

Identify the 'b' value: y = 16x² -8x -24

• 16
• -8
• 8
• -24

What do you do to the b value to correctly complete the square?

• square it
• divide it by 2 and square the result
• divide it by 2 and take the square root of the result
• divide it by 2 only

Tags

CCSS.HSA-REI.B.4B

Which of the following forms are best to use if we want to identify the vertex of a quadratic equation?

• Standard Form
• Vertex Form
• Intercept Form

Fill in the blank: When we convert from standard to vertex form, the a value will ____________.

• Stay the same
• Be the same but negative
• Become the vertex
• Be squared

What is the constant that should be added to the expression to complete the square: x² + 16x + ___

• 16
• 8
• 64
• 32

Tags

CCSS.HSA-REI.B.4B